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A random sample of 16 college men\'s basketball games during the last season had

ID: 3372152 • Letter: A

Question

A random sample of 16 college men's basketball games during the last season had an average attendance of 5,133

with a sample standard deviation of 1,725. Complete parts a and b below.

a. Construct a 90% confidence interval to estimate the average attendance of a college men's basketball game during the last season.

The 90% confidence interval to estimate the average attendance of a college men's basketball game during the last season is from a lower limit of _ to an upper limit of _.

b. What assumptions need to be made about this population?

Explanation / Answer

The statistical software output for this problem is:

One sample T summary confidence interval:
? : Mean of population

90% confidence interval results:

Hence,

a) 90% confidence interval:

Lower limit = 4376.997

Upper limit = 5889.003

b) Assumption: Since the sample size is less than 30, we must assume that the population is normally distributed.

Mean Sample Mean Std. Err. DF L. Limit U. Limit ? 5133 431.25 15 4376.997 5889.003
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